Answer:
6x + 15.
Step-by-step explanation:
3(3x + 5)
= 3 * 2x + 3*5
= 6x + 15.
Hey There!! ~
The answer to this is: Apply the distributive property.
[tex]3 (2x) + 3 . 5[/tex]
Multiply. 2 by 3 [tex]6x + 3 . 5[/tex] Multiply
Multiply 3 by 5.
[tex]6 x + 15[/tex] Thus, for the answer is: 6x + 15.
Hope It Helped!~
[tex]ItsNobody[/tex]~
A businesswoman in philadelphia is preparing an itinerary for a visit to six major cities. the distance traveled, and hence the cost of the trip, will depend on the order in which she plans her route. a how many different itineraries (and trip costs) are possible? b if the businesswoman randomly selects one of the possible itineraries and denver and san francisco are two of the cities that she plans to visit, what is the probability that she will visit denver before san francisco?
Answer:
A) 720 possible itineraries
B) 0.5
Step-by-step explanation:
She visited 6 cities.
A)Now, to get the number of different itineraries that are possible, we will use n! = n(n-1)(n-2)(n-3)....
In this question, n is 6
Thus;
6! = 6 × 5 × 4 × 3 × 2 × 1 = 720
B) First of all, let's calculate the number of sample points in the sample space for the number of cities visited. Since we are told that she visits san francisco and Denver, we will fix the two cities to be constant. Thus, we will have 6 cities, but permutate 4 of them. Which means, we have;
Ns = P(6, 4) = 6!/(6 - 4)! = 360
Thus;
P(visits Denver before San Francisco) = Ns/number of different itineraries that are possible = 360/720 = 0.5
Point B is between A and C on AC use the given information to write an equation in terms of X . Solve the equation. Then find AB And BC
Answer:
26
Step-by-step explanation:
Part B
plot point C(2,7). If M is the midpoint of CD what are the coordinates of D
Answer:
The midpoint of CD is [tex](\frac{2+a}{2},\ \frac{7+b}{2})[/tex].
Step-by-step explanation:
Consider a line CD.
The point C is (2, 7).
Assume that the point D is, (a, b).
The formula to compute the midpoint is:
[tex](x,y)=(\frac{x_{1}+x_{2}}{2},\ \frac{y_{1}+y_{2}}{2})[/tex]
Compute the midpoint of CD as follows:
[tex](x,y)=(\frac{x_{1}+x_{2}}{2},\ \frac{y_{1}+y_{2}}{2})[/tex]
[tex]=(\frac{2+a}{2},\ \frac{7+b}{2})[/tex]
Thus, the midpoint of CD is [tex](\frac{2+a}{2},\ \frac{7+b}{2})[/tex].
NYCab company charges an initial rate of $5.00 for a ride, plus $0.90 for each mile driven. What is the equation that models the total fee for using this cab company? y+____x+______
Answer:
y = 5 + 0.9x
Step-by-step explanation:
If y is the total fee and x is the miles driven, we get following equation:
y = 0.9x + 5The total comprises of a constant initial rate ($5) and a charge for driven miles (0.9x)
Picture is in the question pls help!!
Answer:
124°
Step-by-step explanation:
The angles CGH and AHF have the same size.
● 7x - 72 = 3x + 40
Add 72 to both sides
● 7x - 72 + 72 = 3x + 40 + 72
● 7x = 3x + 112
Substract 3x from both sides
● 7x - 3x = 3x + 112 - 3x
● 4x = 112
Divide both sides by 4
● 4x/4 = 112/4
● x = 28
■■■■■■■■■■■■■■■■■■■■■■■■■■
● < CGH = 7x - 72 = 7×28 - 72 = 124°
simplify the expression -6(2+x)
Answer:
-12-6x it's answer this question
1 point
Starting with 20 grams of starch, what percentage is left when 7 grams remain? Write your answer to two decimal points.
Answer:
35% or 0.35
Step-by-step explanation
If 20 grams is 100%, that means each gram is 5% of the whole. So 7 time 5 is 35.
8.5x-6.1=-7.1
round to the nearest tenth
Answer & Step-by-step explanation:
[tex]8.5x-6.1=-7.1[/tex]
Add 6.1 to both sides:
[tex]8.5x-6.1+6.1=-7.1+6.1\\\\8.5x=-1[/tex]
Isolate the variable x. Divide both sides by 8.5:
[tex]\frac{8.5x}{8.5} =\frac{-1}{8.5}\\\\ x=-\frac{1}{8.5}[/tex]
Round to the nearest tenth. Simplify division:
[tex]-\frac{1}{8.5}=-0.11764705...=-0.1[/tex]
So, x≈-0.1
:Done
If six is decreased by four times a number n, the result is 12. Find the solution
Answer:
n=-1.5
Step-by-step explanation:
6-4n=12
Subtract 6 from 12
-4n=12-6
Simplify
-4n=6
Divide each side by -4
-4n/-4=6/-4
Simplify
n=-1.5
Have you ever been on or seen a ride like this at a fair or amusement park? Imagine being strapped into your seat at the bottom of this 350-foot tower, with your feet dangling just above the ground. You make the trip up the tower at a steady rate of 20 feet per second, stop at the top of the tower to hang for a few seconds, then suddenly drop in a free fall for 288 feet! The trip up the tower is a linear relationship. The height of the riders, h, is equal to the constant rate multiplied by the time, t, since they began the trip up. The free fall down the tower is a quadratic relationship. The distance from the top to the bottom of the free fall, d, is modeled by this equation, where t is the time since the free fall began and is the initial distance above the bottom of the free fall.
Answer:
no
Step-by-step explanation:
The only question here seems to be ...
Have you ever been on or seen a ride like this at a fair or amusement park?
__
I have not seen such a ride.
I have not seen such a ride.
What is an Amusement Park?A large outdoor area with fairground rides, shows, refreshments, games of chance or skill, and other entertainments.
Determining:The only question here seems to be ...
Have you ever been on or seen a ride like this at a fair or amusement park?
I have not seen such a ride.
Learn more about Amusement Park:
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simplify the expression showing each step.
3(2+7)-5
Answer:
22
Step-by-step explanation:
Simplify the following:
3 (2 + 7) - 5
Hint: | Evaluate 2 + 7.
2 + 7 = 9:
3×9 - 5
Hint: | Multiply 3 and 9 together.
3×9 = 27:
27 - 5
Hint: | Subtract 5 from 27.
| 2 | 7
- | | 5
| 2 | 2:
Answer: 22
Answer:22
Step-by-step explanation:
add the numbers in the parathieses so 2+7 and you get 9 so then your equation is 3(9)-5 or 3×9-5
then you multiply 3×9 and get 27 so then subtract 27 -5 and get 22 as your answer
The sum of three consecutive numbers is 96. What is the smallest of the three
numbers?
The expression √93 is in between two whole numbers. Write the two numbers with a comma and a space in between
Answer:
9, 10
Step-by-step explanation:
square root of √93 is 9.64.
Thus, we see that the number 9.64 is greater than but less than 10.
On number line it can be represented as
-∞ _____________7___8___9__9.64___10___11_______+∞
Thus, we see that the two whole numbers between which √93 lies is 9, 10
82,300,000 in scientific notation
Answer:
82300000 in scientific notation = 8.23 × 107.
Step-by-step explanation:
Not sure if that's right.
Answer:
8.23×10^7
Step-by-step explanation:
to convert a number i to scientific form just drag the point to first non zero digit and write it with some multiple of 10
A plant is already 55 centimeters tall, and it will grow one centimeter every month. Let H be the plant's height (in centimeters) after M months. Write an equation relating H to M . Then use this equation to find the plant's height after 12 months. PLEASE HELP
Step-by-step explanation:
Required equation would be:
H = M + 55
Plug M = 12
H = 12 + 55
H = 67 cm
What is the least positive three-digit multiple of 7?
Answer:
105
Step-by-step explanation:
15 X 7 =105
105 is the least 3 digit multiple of 7.
12 X 7 = 84
84 + 7 = 91
91 + 7 = 98
98 + 7 = 105
or use multiplication 13 X 7= 91, 14 X 7=98
15 X 7 = 105
This is guess and check until the sum or product is a 3 digit number. It helps if you know the 7 times table at least through 7 X 12 = 84.
What is the product of Negative StartFraction 2 over 7 EndFraction and Negative StartFraction 3 over 7 EndFraction? Negative StartFraction 6 over 7 EndFraction Negative StartFraction 6 over 49 EndFraction StartFraction 6 over 49 EndFraction StartFraction 6 over 7 EndFraction please help me.... 10 minutes ASAP!!
Answer:
6/49 or
StartFraction 6 over 49 EndFraction
Step-by-step explanation:
There are two negative fractions, the product of which results in positive.
(-2/7)* (-3/7) = 6/49
Answer:
6/7
Step-by-step explanation:
is correct
The greatest integer funtion, shown below, is defined to be the greatest ______ less than or equal to x.
f(x)={{x}}
Answer:
Integer
Step-by-step explanation:
The greatest integer function (as known as the floor function), is defined as to be the greatest integer less than or equal to x.
It is the function:
[tex]f(x)=\floor[x][/tex]
For instance, if x is 2, then f(x) is 2. If x is 2.7, then f(x) is still 2. 2 is the greatest integer less than or equal to 2.
You can also see this from the attached graph.
A company placed $500,000 in three different investment plans.
The company placed some money into short-term notes paying 5.5% per year. They placed three times as much into government bonds paying 5% per year. They placed the rest in utility bonds paying 4.5% per year.
The income for one year was $25,000. How much more money did the company place in government bonds than in utility bonds?
A. $100,000
B. $200,000
C. $300,000
D. $400,000
Answer:
B. $200,000
Step-by-step explanation:
Let x be the amount placed at 5.5%
3x is the amount placed at 5%
This leaves the rest for the 4.5 % 500000- x - 3x = 500000-4x
Assuming simple interest
I = PRT where I is interest, P is principle, rate is rate and t is time
Interest for the 5.5% for 1 year is
I = x * .055 * 1 = .055x
Interest for the 5.% for 1 year is
I = 3x * .05 * 1 = .15x
Interest for the 4.5% for 1 year is
I = 500000-4x * .045 * 1 = 22500 - 0.18 x
Add the interest together to get the income for 1 year
.055x+ .15x+22500 - 0.18 x=25,000
Combine like terms
0.025x+22500=25000
Subtract 22500
.025x =2500
Divide by .025
x =100000
short term notes is 100000
3*x = 300000 = government bonds
The rest is utility bonds 500000- 100000-300000 = 100000
We want how much more in government bond than utility bond
300000 -100000 = 200000
Answer:
200000
Step-by-step explanation:
the short term =x
government bonds =3x
utility bonds: 500000-4x
0.055x+3(0.05(x)+0.045(500000-4x)=25000
0.055x+0.15x+22500-0.18x=25000-22500
0.055x+0.15x+22500-0.18x-22500=2500
0.025x=2500
x=2500/0.25
x=100000
government bonds=3x=3(100000)=300000
utility bond=(500000-400000)=100000
government bonds than in utility bonds:
300000-100000=200000
State the range of the function y=3-x/3
Answer:
[tex](-\infty ,\infty)[/tex]
[tex]y\in \mathbb{R}[/tex]
Step-by-step explanation:
[tex]$y=3-\frac{x}{3} $[/tex]
The domain is all Real numbers.
The range is all Real numbers.
Once it is a linear an equation and there's no restriction for x, both domain and range will be all Real numbers.
Ivan can paint 25 square feet every half hour. How many square feet can he paint in 3
hours?
Answer:
150 square feet every half hour.
Step-by-step explanation:
Answer:
150 square feet
Step-by-step explanation:
If × = 2,y =-6 and z =4.Find the value of 4z + 2y-x.
Answer:
The answer is 2
Step-by-step explanation:
4z+2y-x
4(4)+2(-6)-2
16+(-12)-2
16-12-2
4-2
2
Step-by-step explanation:
[tex]4z + 2y - x \\ = 4 \times 4 + 2 \times ( - 6) - 2 \\ = 16 + ( - 12) - 2 \\ = 16 + ( - 14) \\ = 2[/tex]
A baseball player hits a pop fly ball toward left field where it is caught by a player at a height of 5 feet. The ball was hit at a height of 3 feet and reached a height of 50 feet. The height of the ball is a function of time. What is the range of this function?
Answer:
The range of the function are the values of height which are from 3, 4, 5, ..., 50
Step-by-step explanation:
The given parameters are;
The height at which the ball is caught = 5 feet
The height at which the ball was hit = 3 feet
The maximum height reached by the ball = 50 feet
The height of the ball given as a function of time is f(t) s = u·t - 1/2·g·t²
Where;
s = 50 feet
g = 9.81 m/s²
Therefore, we have;
50 = u·t - 1/2 × 9.81 × t²
50 = u·t - 4.905 × t²
Therefore, the range are obtainable values for f(t) which range from 3 to 50.
Given f(x) = x − 7 and g(x) = x2 . Find f(g(4)).
Answer:
f(g(4)) = 9Step-by-step explanation:
f(x) = x − 7
g(x) = x²
To find f(g(4)) we must first find f(g(x)).
To find f(g(x)) substitute g(x) into f(x) that's for every x in f (x) replace it with g(x)
That's
f(g(x)) = x² - 7
To find f(g(4)) substitute the value of x that's 4 into f(g(x)) that's replace every x in f(g(x)) by 4
That's
f(g(4)) = 4² - 7
= 16 - 7
We have the final answer as
f(g(4)) = 9Hope this helps you
From the sum of -14 and -13 subtract 22
Answer:
-49
Step-by-step explanation:
-14 + -13
A + and a - is still a - , so it can be written as -14 - 13, which is -27.
Then, -27 - 22 = -49
Answer: -49
Step-by-step explanation:
-14 + -13 = -27
-27 - 22 = -49
I hope this helps
plz mark brainleist
PLEASE HELP AND HURRY!!
is it possible for a rectangle to have rational side lengths and an irrational area?
Yes
For Example :If the rectangle has sides of Square root 8 and square root 2 which are two irrational numbers but when multiplied it gives an area of 4 square units which is a rational number.
No, it is not possible for a rectangle to have rational side lengths and an irrational area, because two rational numbers are always rational.
Given that,
To figure out, is it possible for a rectangle to have rational side lengths and an irrational area.
Rational numbers can be structured in the form of the fraction of integers. Eg- 5/6, 2/3, etc.
Here,
in a rectangle, two sides have rational length and the area of the rectangle is a product of the sides of the rectangle.
Since there is a property of the rational numbers that, when two rational numbers are multiplied together the product of the rational number is always rational.
So the area of the rectangle also would be rational.
Thus, it is not possible for a rectangle to have rational side lengths and an irrational area.
Learn more about Rational numbers here: https://brainly.com/question/17450097
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Help please!!! Thank you
Answer:
25
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask ;)
4.Why might there be a break in the vertical axis on a line graph?
A. Numbers in that range have been left out.
B. Those numbers aren't important.
C. There was no data available for those numbers.
D. The creator of the graph made a mistake.
Answer:
there was no data available for those numbers
Step-by-step explanation:
if you want to graph at intervals of (for example) 15, but your numbers are ranging from 115 - 200, you don't want to a huge blank space from 0 - 115 on the y-axis.
if you create a break at the bottom (and only the bottom) you can start at 100 and have intervals of 15 from there. this eliminates dead space on a graph.
On Monday, I had a normal temperature of 98.6° F.
When I woke up on Tuesday morning, I had a fever of
103.4°F. How much higher was it on Tuesday
morning?
Answer:
it was 4.8 degrees higher
Step-by-step explanation:
all u have to do is subtract 103.4 from 98.6
Answer:
Wouldn't it be 4.8° F ?
Step-by-step explanation:
Since you can just subtract the two numbers and you get that.
103.4°F - 98.6°F = 4.8°F
.If x2 + kx+ 6 = (x + 2) (x + 3) for all x, then the value of k is
Answer:
k = 5
Step-by-step explanation:
[tex](x + 2)(x + 3) = {x}^{2} + 5x + 6[/tex]
Now comparing left hand side & right hand side ,
[tex] {x}^{2} + kx + 6 = {x}^{2} + 5x + 6[/tex]
Cancelling x^2 & 6 from both left hand side & right hand side ,
kx = 5x
=> k = 5